What is the Least Common Multiple of 6645 and 6655?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 6645 and 6655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6645 and 6655, than apply into the LCM equation.

GCF(6645,6655) = 5
LCM(6645,6655) = ( 6645 × 6655) / 5
LCM(6645,6655) = 44222475 / 5
LCM(6645,6655) = 8844495

Least Common Multiple (LCM) of 6645 and 6655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6645 and 6655. First we will calculate the prime factors of 6645 and 6655.

Prime Factorization of 6645

Prime Factorization of 6655

Now multiplying the highest exponent prime factors to calculate the LCM of 6645 and 6655.

LCM(6645,6655) = 3¹ × 5¹ × 443¹ × 11³
LCM(6645,6655) = 8844495